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Finding the Fourth Proportional to 428,542.38, 642,819.11 and 295,386.93

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Solution

The fourth proportional to 428,542.38, 642,819.11 and 295,386.93 is: 443,084.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,542.38 : 642,819.11 = 295,386.93 : x
  2. Step 2: Convert to fraction form
    428,542.38/642,819.11 = 295,386.93/x
  3. Step 3: Cross multiply
    428,542.38x = 642,819.11 × 295,386.93
  4. Step 4: Simplify right side
    428,542.38x = 189,880,361,971.30
  5. Step 5: Solve for x
    x = 189,880,361,971.30/428,542.38
  6. Step 6: Final answer
    x = 443,084.21

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.